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Here is the syntax for a Java for loop: for (initialization; condition; increment) loop_statement where each of the sections initialization, condition, and increment can be empty. In the initialization section, we can declare an index variable that will only exist in the scope of the for loop. For example, if we want a loop that indexes on a counter, and we have no need for the counter variable outside of the for loop, then declaring something like the following for (int counter = 0; condition; increment) loop_statement will declare a variable counter whose scope is the loop body only. In the condition section, we specify the repeat (while) condition of the loop. This must be a Boolean expression. The body of the for loop will be executed each time the condition is true when evaluated at the beginning of a potential iteration. As soon as condition evaluates to false, then the loop body is not executed, and, instead, the program executes the next statement after the for loop. In the increment section, we declare the incrementing statement for the loop. The incrementing statement can be any legal statement, allowing for significant flexibility in coding. Thus, the syntax of a for loop is equivalent to the following: initialization; while (condition) { loop_statement; increment; } except that, in Java, a while loop cannot have an empty Boolean condition, whereas a for loop can. The following example shows a simple for loop in Java:

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The structure imposed by modularity helps to enable software reusability. If software modules are written in an abstract way to solve general problems, then modules can be reused when instances of these same general problems arise in other contexts. For example, the structural definition of a wall is the same from house to house, typically being defined in terms of 2- by 4-inch studs, spaced a certain distance apart, etc. Thus, an organized architect can reuse his or her wall definitions from one house to another. In reusing such a definition, some parts may require redefinition, for example, a wall in a commercial building may be similar to that of a house, but the electrical system and stud material might be different. A natural way to organize various structural components of a software package is in a hierarchical fashion, which groups similar abstract definitions together in a level-by-level manner that goes from specific to more general as one traverses up the hierarchy. A common use of such hierarchies is in an organizational chart, where each link going up can be read as "is a," as in "a ranch is a house is a building." This kind of hierarchy is useful in software design, for it groups together common functionality at the most general level, and views specialized behavior as an extension of the general one.

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Class modifiers are optional keywords that precede the class keyword. We have already seen examples that use the public keyword. In general, the different class modifiers and their meaning is as follows: The abstract class modifier describes a class that has abstract methods. Abstract methods are declared with the abstract keyword and are empty (that is, they have no block defining a body of code for this method). A class that has nothing but abstract methods and no instance variables is more properly called an interface (see Section 2.4), so an abstract class usually has a mixture of abstract methods and actual methods. (We discuss abstract classes and their uses in Section 2.4.) The final class modifier describes a class that can have no subclasses. (We will discuss this concept in the next chapter.) The public class modifier describes a class that can be instantiated or extended by anything in the same package or by anything that imports the class. (This is explained in more detail in Section 1.8.) Public classes are declared in their own separate file called classname. java, where "classname" is the name of the class. If the public class modifier is not used, the class is considered friendly. This means that it can be used and instantiated by all classes in the same package. This is the default class modifier.

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Write a short Java function that takes an integer n and returns the sum of all the integers smaller than n. R-1.11 Write a short Java function that takes an integer n and returns the sum of all the odd integers smaller than n.

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Rather than explain each of these concepts here, however, we introduce them throughout the text as noted above. For each pattern, be it for algorithm engineering or software engineering, we explain its general use and we illustrate it with at least one concrete example.

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The typical use of a break statement has the following simple syntax: break; It is used to "break" out of the innermost switch, for, while, or dowhile statement body. When it is executed, a break statement causes the flow of control to jump to the next line after the loop or switch to the body containing the break. The break statement can also be used in a labeled form to jump out of an outernested loop or switch statement. In this case, it has the syntax break label; where label is a Java identifier that is used to label a loop or switch statement. Such a label can only appear at the beginning of the declaration of a loop. There are no other kinds of "go to" statements in Java. We illustrate the use of a label with a break statement in the following simple example: public static boolean hasZeroEntry (int[][] a) { boolean foundFlag = false; zeroSearch: for (int i=0; i